Asymptotic Solutions Of Differential Equations And Their Applications
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Asymptotic Integration Of Differential And Difference Equations
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Author : Sigrun Bodine
language : en
Publisher: Springer
Release Date : 2015-05-26
Asymptotic Integration Of Differential And Difference Equations written by Sigrun Bodine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-26 with Mathematics categories.
This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.
Asymptotic Properties Of Solutions Of Nonautonomous Ordinary Differential Equations
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Author : Ivan Kiguradze
language : en
Publisher: Springer
Release Date : 1992-11-30
Asymptotic Properties Of Solutions Of Nonautonomous Ordinary Differential Equations written by Ivan Kiguradze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-30 with Mathematics categories.
This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
Asymptotic Solutions Of Differential Equations And Their Applications
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Author : Calvin Hayden Wilcox
language : en
Publisher:
Release Date : 1964
Asymptotic Solutions Of Differential Equations And Their Applications written by Calvin Hayden Wilcox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Mathematics categories.
Nonlinear Partial Differential Equations
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Author : Mi-Ho Giga
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-30
Nonlinear Partial Differential Equations written by Mi-Ho Giga and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-30 with Mathematics categories.
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.
Asymptotic Analysis Of Differential Equations
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Author : Roscoe B. White
language : en
Publisher: World Scientific
Release Date : 2005
Asymptotic Analysis Of Differential Equations written by Roscoe B. White and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Asymptotic Solutions Of Differential Equations And Their Applications
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Author : Calvin H. Wilcox
language : en
Publisher:
Release Date : 1964
Asymptotic Solutions Of Differential Equations And Their Applications written by Calvin H. Wilcox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Asymptotes categories.
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations
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Author : Lamberto Cesari
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations written by Lamberto Cesari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This second edition, which has become necessary within so short a time, presents no major changes. However new results in the line of work of the author and of J. K. HaIe have made it advisable to rewrite seetion (8.5). Also, some references to most recent work have been added. LAMBERTO CESARI University of Michigan June 1962 Ann Arbor Preface to the First Edition In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matie controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields.
Asymptotic Solutions Of Differential Equations And Their Applications
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Author : Calvin H. Wilcox
language : it
Publisher:
Release Date : 1964
Asymptotic Solutions Of Differential Equations And Their Applications written by Calvin H. Wilcox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Asymptotics And Special Functions
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Author : Frank Olver
language : en
Publisher: CRC Press
Release Date : 1997-01-24
Asymptotics And Special Functions written by Frank Olver and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-24 with Mathematics categories.
A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Asymptotic Solutions Of Differential Equations And Their Applications
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Author : Calvin H. Wilcox
language : en
Publisher:
Release Date : 1964
Asymptotic Solutions Of Differential Equations And Their Applications written by Calvin H. Wilcox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.